Systems A and B paramagnetic salts with coordinates H.M and H\', M\' respectivel

Question

Systems A and B paramagnetic salts with coordinates H.M and H', M' respectively. System C is a gas with coordinates P, V. When A and C are in thermal equilibrium, the equation 4 pi n RC _6 H - MPV = 0 is found to hold. When B and Care in thermal equilibrium, we have where n, R theta M^r + 4 pi n RC' _4 H - M'PV = 0 where n, R, C _c, C' _c and theta are constants. What are the three functions which are equal to each other at thermal equilibrium? thermal between A B What is equation expressing equilibrium

Explanation / Answer

2a) when A and C re in equilibrium we get that

4nRCcH-MPV=0

taking costants in left side we get

nRCc= MPV/4H

Again when Band C are in equilibrium we get

nRM' +4nRCc'H'-M'PV =0

or nRM' +4nRCc'H'=M'PV

or  nRM' =M'PV-4nRCc'H'

as R,Cc and Cc' are constants then

nRM' =M'PV-4[MPV/4H]H'

To maintain these conditions the internall energy and temperature must be equal and that means TS-PV should not change.

b) from zeroth law of thermodynamics if two seperate systems are in equilibrium with a third system that means they are equilibrium to each other

from the given two expression the equilibrium equation for A and B is

nRCc=nRCc'

or MPV/4H=(nRM' -M'PV)/4H'

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